Solve the Problem Relating to the Fibonacci Sequence $\frac { \left( \frac { 1 + \sqrt { 5 } } { 2 } \right) ^ { n } - \left( \frac { 1 - \sqrt { 5 } } { 2 } \right) ^ { n } } { \sqrt { 5 } }$

question 99

Multiple Choice

Solve the problem relating to the Fibonacci sequence.
-According to the Binet form, the nth Fibonacci number is given by $\frac { \left( \frac { 1 + \sqrt { 5 } } { 2 } \right) ^ { n } - \left( \frac { 1 - \sqrt { 5 } } { 2 } \right) ^ { n } } { \sqrt { 5 } }$ Use this Binet form to find the 28th Fibonacci number.

• A)317,812
• B)317,810
• C)317,811
• D)317,813

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